Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Hilbert spaces

被引：3

作者：

Miyadera, I ^{[1
]}

机构：

[1] Waseda Univ, Tokyo, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2000年 / 4卷 / 02期

关键词：

nonlinear ergodic theorem; semigroup of non-Lipschitzian mappings; fixed point; asymptotic center; asymptotically nonexpansive mapping in the weak sense; almost-orbit; weak almost-convergence; strong almost-convergence;

D O I：

10.11650/twjm/1500407231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be a nonempty subset (not necessarily closed and convex) of a Hilbert space, and S = {T(t); t greater than or equal to 0} be a semigroup of non-Lipschitzian mappings on C. In this paper we study almost-convergence of almost-orbits of S.

引用

页码：261 / 274

页数：14

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